116061692082336 has 1728 divisors, whose sum is σ = 469026834756480. Its totient is φ = 26728389918720.

The previous prime is 116061692082331. The next prime is 116061692082341. The reversal of 116061692082336 is 633280296160611.

116061692082336 is a `hidden beast` number, since 1 + 1 + 606 + 1 + 6 + 9 + 2 + 0 + 8 + 23 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116061692082331) and next prime (116061692082341).

It is not an unprimeable number, because it can be changed into a prime (116061692082331) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11528920375 + ... + 11528930441.

It is an arithmetic number, because the mean of its divisors is an integer number (271427566410).

Almost surely, 2^{116061692082336} is an apocalyptic number.

116061692082336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116061692082336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234513417378240).

116061692082336 is an abundant number, since it is smaller than the sum of its proper divisors (352965142674144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116061692082336 is a wasteful number, since it uses less digits than its factorization.

116061692082336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 116061692082336 in words is "one hundred sixteen trillion, sixty-one billion, six hundred ninety-two million, eighty-two thousand, three hundred thirty-six".